Question

In throwing of a fair die, if the probability of the event ‘a number less than or equal to 4 turns up’ is denoted by P(A), then the value of 30P(A) = ___

Answer 1

We have seen the sample space and the random experiment of throwing a fair die. The sample space of this experiment would be S = {1, 2, 3, 4, 5, 6}.
We want to find the probability of the event A = a number less than 4 turns up
The outcomes which are favorable to A are {1, 2, 3, 4}
These outcomes are equally likely. That is, they have equal chances of happening.
So, according to classical definition of probability,
$P\left(A\right)=\frac{numberofeventsfavorablestoA}{totalnumberofoutcomes}$
$=\frac{4}{6}$
$\Rightarrow 30P\left(A\right)=30\times \frac{4}{6}$
$=20$